A blog is that is all about mathematics and calculators, two of my passions in life.

Friday, May 23, 2014

PCalc and HP 50G: Escape Velocity

The next four posts will have programs for the PCalc iOS app and the HP 50g calculator. English/U.S. Units (feet/miles, pounds, seconds) will be used instead of SI units (meters/kilometers, kilograms, seconds).

The Universal Gravitational Constant is:

SI Units:G = 6.67384 x 10^-11 m^3/(s^2 kg)

English Units:G = 1.06904661604 x 10^-9 ft^3/(s^2 lb)

PCalc Program: Escape Velocity (in mi/sec)5/19/2014

G = 1.06904661604 x 10^-9 ft^3/(s^2 lb)

Input:Y: mass (in pounds)X: distance or radius (in miles)

Output:Y: mass (in pounds)X: escape velocity (mi/sec)

Program:Decimal ModeMultiply X By 5280Invert XMultiply X By YMultiply X By 2Multiply X By 1.0690441604e-9X To Power of 0.5Divide X By 5280